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10313223232 = 261399712433
BaseRepresentation
bin10011001101011011…
…10100110001000000
3222121202011000121211
421212231310301000
5132110141120412
64423212055504
7513366644134
oct114655646100
928552130554
1010313223232
114412600294
121bb9a64594
13c84867c70
146db9b93c4
1540562eca7
hex266b74c40

10313223232 has 56 divisors (see below), whose sum is σ = 22063436696. Its totient is φ = 4754792448.

The previous prime is 10313223209. The next prime is 10313223241. The reversal of 10313223232 is 23232231301.

It can be written as a sum of positive squares in 4 ways, for example, as 372335616 + 9940887616 = 19296^2 + 99704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 823288 + ... + 835720.

It is an arithmetic number, because the mean of its divisors is an integer number (393989941).

Almost surely, 210313223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031718348).

10313223232 is an abundant number, since it is smaller than the sum of its proper divisors (11750213464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10313223232 is a wasteful number, since it uses less digits than its factorization.

10313223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455 (or 13445 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10313223232 its reverse (23232231301), we get a palindrome (33545454533).

The spelling of 10313223232 in words is "ten billion, three hundred thirteen million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 997 1994 3988 7976 12433 12961 15952 24866 25922 31904 49732 51844 63808 99464 103688 161629 198928 207376 323258 397856 414752 646516 795712 829504 1293032 2586064 5172128 10344256 12395701 24791402 49582804 99165608 161144113 198331216 322288226 396662432 644576452 793324864 1289152904 2578305808 5156611616 10313223232